h-net: hqc427


Topological data

Orbifold symbol*2626
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{5,4}
2D vertex symbol {6.3.18.18.3}{3.18.3.18}
Vertex coordination sequence [(5, 14, 39, 110, 305, 856, 2389, 6678, 18667, 52148), (4, 12, 36, 94, 272, 752, 2104, 5890, 16434, 45968)]
Delaney-Dress Symbol <427.2:7:1 2 4 6 7,1 3 4 7 6,2 5 6 7:6 3 18,5 4>
Dual net hqc560

Derived s-nets

s-nets with faithful topology

4 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc3984 R-3m 166 rhombohedral {5,4} 9 (2,3)
Full image sqc3982 R-3 148 rhombohedral {5,4} 9 (2,4)
Full image sqc3983 R-3 148 rhombohedral {5,4} 9 (2,4)
Full image sqc3985 R-3m 166 rhombohedral {5,4} 9 (2,3)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC647 *2626 (2,3,3) {5,4} {6.3.18.18.3}{3.18.3.18} Snet sqc3984 Snet sqc3982 Snet sqc3985
Tiling details UQC648 *2626 (2,3,3) {5,4} {6.3.18.18.3}{3.18.3.18} Snet sqc3985 Snet sqc3983 Snet sqc3984

Symmetry-lowered hyperbolic tilings